160048742400 has 756 divisors, whose sum is σ = 603989006292. Its totient is φ = 42042654720.

The previous prime is 160048742393. The next prime is 160048742417. The reversal of 160048742400 is 4247840061.

160048742400 is a `hidden beast` number, since 1 + 600 + 4 + 8 + 7 + 4 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388787167 + ... + 2388787233.

It is an arithmetic number, because the mean of its divisors is an integer number (798927257).

Almost surely, 2^160048742400 is an apocalyptic number.

160048742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160048742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301994503146).

160048742400 is an abundant number, since it is smaller than the sum of its proper divisors (443940263892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

160048742400 is an frugal number, since it uses more digits than its factorization.

160048742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 160048742400 in words is "one hundred sixty billion, forty-eight million, seven hundred forty-two thousand, four hundred".